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Finding the Fourth Proportional to 27,513.54, 41,264.44 and 7,786.80

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Solution

The fourth proportional to 27,513.54, 41,264.44 and 7,786.80 is: 11,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.54 : 41,264.44 = 7,786.80 : x
  2. Step 2: Convert to fraction form
    27,513.54/41,264.44 = 7,786.80/x
  3. Step 3: Cross multiply
    27,513.54x = 41,264.44 × 7,786.80
  4. Step 4: Simplify right side
    27,513.54x = 321,317,921.93
  5. Step 5: Solve for x
    x = 321,317,921.93/27,513.54
  6. Step 6: Final answer
    x = 11,678.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.